A researcher is interested in whether dogs show different levels of intelligence depending on how social they are. She recruits a total sample of 15 dogs and divides them equally into 3 separate groups based on their degree of sociality (nonsocial, average, and very social). She then administers a common animal intelligence test and records the results (the higher the score, the more intelligent the dog). The results are listed below. Conduct a one-way ANOVA (a = .05) to determine if there is a significant difference between the groups of dogs on the intelligence test.

Very Social: 9, 12, 8, 9, 7

Average: 10, 7, 6, 9, 8

Nonsocial: 6, 7, 7, 5, 5

No use of excel please. avoid handwritten explanations. show all the calculations please.